I am not the best person to answer this question, but will do my best:
My understanding is that FEM only works through large public radio information raising campaigns. There is no behind the scenes where they would /β could promote abortion that I know of. So I think it highly unlikely that they have done any work on abortion.
Maternal Health Initiative is a few months old. They are still at the scoping and research stage so I cannot comment on their plans.
In case helpful note I comment below here: